10191012673 has 2 divisors, whose sum is σ = 10191012674. Its totient is φ = 10191012672.

The previous prime is 10191012613. The next prime is 10191012677. The reversal of 10191012673 is 37621019101.

10191012673 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6877053184 + 3313959489 = 82928^2 + 57567^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10191012673 is a prime.

It is not a weakly prime, because it can be changed into another prime (10191012677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5095506336 + 5095506337.

It is an arithmetic number, because the mean of its divisors is an integer number (5095506337).

Almost surely, 2^10191012673 is an apocalyptic number.

It is an amenable number.

10191012673 is a deficient number, since it is larger than the sum of its proper divisors (1).

10191012673 is an equidigital number, since it uses as much as digits as its factorization.

10191012673 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 31.

The spelling of 10191012673 in words is "ten billion, one hundred ninety-one million, twelve thousand, six hundred seventy-three".